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aivan3 [116]
3 years ago
13

Solve for x: one over four (4x + 15) = 24

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

x = 81/4

Step-by-step explanation:

multiply both sides by 4

4x + 15 = 96

subtract 15 from both sides

4x = 81

divide both sides by 4

x= 81/4

i hope that's right

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The photo printed has length of 6 imams width of 4. A smaller picture is printed the ratio of the new picture to the size of the
Serggg [28]
We know the width of the first picture, is 4
we know the ratio from smaller to larger is 1.5:2

thus     \bf \cfrac{\textit{width of small}}{\textit{width of large}}\qquad 1.5:2\implies \cfrac{1.5}{2}=\cfrac{w}{4}

solve for "w".

we know the length of the first picture, 6

\bf \cfrac{\textit{length of small}}{\textit{length of large}}\qquad 1.5:2\implies \cfrac{1.5}{2}=\cfrac{L}{6}


solve for "L".
3 0
3 years ago
A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu
yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm,  C2 = 0.0062 m = 0.62 cm

B)  A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = \sqrt[4]{3} is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0
3 years ago
To convert a percent to a fraction, which of the following is not done?
slavikrds [6]
What you do, to convert a percention to a fraction is to divide the percent by 100. This will give you the fraction of that percent. Knowing this, you can eliminate all the other possible answers that have been listed.
4 0
3 years ago
Look at the example problem. Suppose Alana walks 6.6 miles the next day. Complete the steps below to find the number of miles sh
alexandr402 [8]

Answer:

Looking at the example Alana will walk. 15.23 miles in two days

step-by-step explanation:

Looking at the example and using place value system

8.63 + 6.60= 15.23 miles

4 0
3 years ago
What percent is 18 of 20
algol13

Answer:

90%

Step-by-step explanation:

  1. \frac{18}{20} = \frac{90}{100}  
  2. \frac{90}{100} = 90%

I hope this helps!

7 0
3 years ago
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